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Finding the Fourth Proportional to 409,658.41, 614,354.64 and 156,925.45

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Solution

The fourth proportional to 409,658.41, 614,354.64 and 156,925.45 is: 235,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,658.41 : 614,354.64 = 156,925.45 : x
  2. Step 2: Convert to fraction form
    409,658.41/614,354.64 = 156,925.45/x
  3. Step 3: Cross multiply
    409,658.41x = 614,354.64 × 156,925.45
  4. Step 4: Simplify right side
    409,658.41x = 96,407,878,341.59
  5. Step 5: Solve for x
    x = 96,407,878,341.59/409,658.41
  6. Step 6: Final answer
    x = 235,337.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.